- 237 -Mazzola, Guerino / Noll, Thomas / Lluis-Puebla, Emilio: Perspectives in Mathematical and Computational Music Theory 
  Erste Seite (1) Vorherige Seite (236)Nächste Seite (238) Letzte Seite (454)      Suchen  Nur aktuelle Seite durchsuchen Gesamtes Dokument durchsuchen     Aktuelle Seite drucken Hilfe 

There is a predefined set of generic functions with methods for all musical classes. They can be used to apply transformations to musical instances (e.g. transposition, inversion) or simply to play or visualize them.

2.3 Music editors

OpenMusic provides special editors for musical instances. We use the paradigm Model-View-Controller (E. Gamma1994), where the model is the musical instance, the view is its representation on the screen as a score and the controller is an user interface allowing to change slot values. Figure 5 shows the editor for an instance of the class polyphony (extract of the piece Harawi by the French composer Olivier Messiaen).


PIC
Figure 5: A musical editor.


Musical entities can be built by hand. Editors allow operations like addition, delete, copy, paste, etc., for all structures in the score (e.g. notes, chords, measures, voices). Another possibility consists in creating musical structures by using computing techniques. For this purpose, we need to define a level of description between internal and graphical representations. We propose the representation of rhythmic structures as rhythmic trees. A Rhythmic Tree (RT) is defined as a pair (D S) where D is an integer ratio (¿ 0) and S is a list of n elements. Each element in S can be either an integer or a RT. For a given RT (D S), D expresses a duration and S defines a group of proportions of D. For instance, by taking as unity the quarter note, for RT = (1 (1 1 1 1)) we obtain the following rhythm:


PIC


RTs allow us to represent, in an homogenous way, different types of musical objects. Polyphonies, voices, measures groups, etc. are expressed as RTs. When the value D is at the measure level, we express it in whole note units. For example, the RT for the next rhythm will be (3/4 (1 1 1)).


Erste Seite (1) Vorherige Seite (236)Nächste Seite (238) Letzte Seite (454)      Suchen  Nur aktuelle Seite durchsuchen Gesamtes Dokument durchsuchen     Aktuelle Seite drucken Hilfe 
- 237 -Mazzola, Guerino / Noll, Thomas / Lluis-Puebla, Emilio: Perspectives in Mathematical and Computational Music Theory